The resistive transition process in superconductors stabilized with high-purity normal metal results in a localized transient level of ohmic heat generation well in excess of the steady level. These transient losses result from the redistribution of the transport current by diffusion into the normal metal stabilizer. Recently, a previously unrecognized source of heat generation has been identified: Hall-effect-induced secondary currents in highpurity conductors having non-uniform current distributions. In this paper, the phenomenon of Hall-effect-induced transient currents during transport current redistribution is treated. Approximate calculations show the transient Hall effect heating to be of the same order as the heating associated with the transport current redistribution in a superconductor undergoing a resistive transition, i.e., a propagating normal zone. The phenomenon will also be active in the a.c. current skin effect with high-purity conductors in background fields, increasing the losses above those predicted by 'skin depth' computations.